Average Error: 0.0 → 0.0
Time: 7.5s
Precision: 64
\[\frac{\left|x - y\right|}{\left|y\right|}\]
↓
\[\frac{\left|x - y\right|}{\left|y\right|}\]
\frac{\left|x - y\right|}{\left|y\right|}
↓
\frac{\left|x - y\right|}{\left|y\right|}
double f(double x, double y) {
        double r94949 = x;
        double r94950 = y;
        double r94951 = r94949 - r94950;
        double r94952 = fabs(r94951);
        double r94953 = fabs(r94950);
        double r94954 = r94952 / r94953;
        return r94954;
}
↓
double f(double x, double y) {
        double r94955 = x;
        double r94956 = y;
        double r94957 = r94955 - r94956;
        double r94958 = fabs(r94957);
        double r94959 = fabs(r94956);
        double r94960 = r94958 / r94959;
        return r94960;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{\left|x - y\right|}{\left|y\right|}\]

  2. Final simplification0.0

    \[\leadsto \frac{\left|x - y\right|}{\left|y\right|}\]

Reproduce

herbie shell --seed 2019350 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))